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  • 16-09-2020
  • Mathematics
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The measure of 2 angles are in a 2:3 ratio. If the larger angle is 30 more than 1/2 the smaller one find the measure of 1/2 the larger one

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A0PERSON A0PERSON
  • 16-09-2020

Answer:

two complementary angles are in the ratio 3:2. the number of degrees in the smaller angle is

------------------

Let one of the angles be "x".

Then the other is "90-x".

-----

Equation:

x/(90-x) = 3/2

2x = 3(90-x)

 

2x = 270-3x

5x = 270

------

x = 54 degrees

90-x = 36 degrees

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Step-by-step explanation:

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